Kirchhoff equations in generalized Gevrey spaces: local existence, global existence, uniqueness

Details Kirchhoff equations in generalized Gevrey spaces: local existence, global existence, uniqueness Kirchhoff equations in generalized Gevrey spaces: local existence, global existence, uniqueness

2009-12-18

arxiv.org/abs/0912.3690v1

Mathematics

Analysis of PDEs

20 pages, 4 tables, conference paper (7th ISAAC congress, London 2009)

Scientific paper

In this note we present some recent results for Kirchhoff equations in generalized Gevrey spaces. We show that these spaces are the natural framework where classical results can be unified and extended. In particular we focus on existence and uniqueness results for initial data whose regularity depends on the continuity modulus of the nonlinear term, both in the strictly hyperbolic case, and in the degenerate hyperbolic case.

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